3b^2-7b-6b=0

Solution for 3b^2-7b-6b=0 equation:

Simplifying
3b2 + -7b + -6b = 0

Reorder the terms:
-7b + -6b + 3b2 = 0

Combine like terms: -7b + -6b = -13b
-13b + 3b2 = 0

Solving
-13b + 3b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), 'b'.
b(-13 + 3b) = 0

Subproblem 1
Set the factor 'b' equal to zero and attempt to solve:

Simplifying
b = 0

Solving
b = 0

Move all terms containing b to the left, all other terms to the right.

Simplifying
b = 0
Subproblem 2
Set the factor '(-13 + 3b)' equal to zero and attempt to solve:

Simplifying
-13 + 3b = 0

Solving
-13 + 3b = 0

Move all terms containing b to the left, all other terms to the right.

Add '13' to each side of the equation.
-13 + 13 + 3b = 0 + 13

Combine like terms: -13 + 13 = 0
0 + 3b = 0 + 13
3b = 0 + 13

Combine like terms: 0 + 13 = 13
3b = 13

Divide each side by '3'.
b = 4.333333333

Simplifying
b = 4.333333333
Solution
b = {0, 4.333333333}